164673432 has 128 divisors (see below), whose sum is σ = 570355200. Its totient is φ = 42768000.

The previous prime is 164673427. The next prime is 164673451. The reversal of 164673432 is 234376461.

It is a happy number.

164673432 is a `hidden beast` number, since 1 + 646 + 7 + 3 + 4 + 3 + 2 = 666.

164673432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11682 + ... + 21582.

It is an arithmetic number, because the mean of its divisors is an integer number (4455900).

Almost surely, 2^164673432 is an apocalyptic number.

164673432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164673432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285177600).

164673432 is an abundant number, since it is smaller than the sum of its proper divisors (405681768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164673432 is a wasteful number, since it uses less digits than its factorization.

164673432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 9924 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 164673432 is about 12832.5146405527. The cubic root of 164673432 is about 548.1185652843.

It can be divided in two parts, 1646 and 73432, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 164673432 in words is "one hundred sixty-four million, six hundred seventy-three thousand, four hundred thirty-two".